Your Ad HereHorry County is a county located in the U.S. state of South Carolina. 2016 U.S. census population: 322,342. Its county seat is ConwayHistoryFounded in 1801. This name honored Revolutionary War Hero, Peter Horry. Brigadier General Horry was born in South Carolina sometime around 1743 and started his distinguished military career in 1775 as one of 20 captains the Provincial Congress of South Carolina elected to serve the 1st and 2nd Regiments. In 1790 he was assigned to the South Carolina militia under Brigadier General Francis "Swamp Fox" Marion.